3 years ago

What is the inverse of the function f(x) = 2x – 10?

1 answer:

5 0

ANSWER:

f(x)⁻¹ = (x+10)/2

WORKING OUT:

f(x) = 2x - 10

y = 2x - 10

*Replace all 'y' values with 'x' and vice versa*

x = 2y - 10

*Make y the subject of the equation*

2y = x+10

y = (x+10)/2

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Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. Y=4.5 when x = 3

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$\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
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\begin{cases}
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\\\\\\
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